More polynomial help please?!?!?

Question

Consider the function f(x)=X^3-2X^2-16X+16k, where k is an unknown constant. If 2 is a zero of f, find two other zeroes. Help please?!?! Im up 1 in the mornin tryin to do these stupid polynomial questions. Thank you.

Answer 1

If 2 is a zero of f, then f(2) = 0. That will enable you to determine the value of k. (You should get k=2.) Put this value of k into f, then use synthetic division or long division to divide f(x) by (x-2); this will produce a quadratic which you will easily be able to factor.